You should check and see if the engine is original to your car. An easy way is to check the engine assembly date which is located on a small extension of the engine block near the distributor (see the pictures). It is in the format of year (a number), the month (a letter, A thru M, A = January, M = December), the date (one or two numbers, 1-31) and the assembler/inspector's ID (a letter). The one in the picture is 5H23Z, which decodes to 1965, August, 23 (the day), and code "Z" for the assembly/inspector. That date should be before the scheduled build date of your car, which has been calculated to be 3-6 April 66 (I verified it), about a week to a month. It would be something like "6C04Z" to "6D01Z".
I am leery as to your car having a California DSO of 71 or 72 as those two DSOs are not common on the cars listed in the Mustang Production Guide in that time period. The earliest California DSO is at the end of February, 1966, the one after your car was scheduled to be built was in July, 1966 (a "K" code convertible to DSO 71, LA).
Jim